Кеңістіктің берілген нүктеге дейінгі ара қашықтығы оң қашықтықтан артық болмайтын барлық нүктелерінің жиыны шар деп аталады.
Шарды шығарып алу үшін жарты дөңгелекті өзінің диаметрі арқылы өтетін осінен айналдыру керек (180-сурет). Жарты шеңберді айналдырудан пайда болған фигура – сфера, яғни осы шардың беті болып табылады. Осы сфераның центрі, радиусы және хордалары шардың сәйкес центрі, радиусы және хордалары деп аталады. Шардың бетіне тиісті емес, барлық нүктелері шардың ішкі нүктелері деп аталады. Тік бұрышты координаталар системасы берілсін.
181-сурет
Центрі 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) және радиусы сфера теңдеуін құрайық (181-сурет). Сфераға тиісті әрбір ![](data:image/png;base64,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) нүкте үшін теңдігі орындалады. Екі нүктенің ара қашықтығының формуласын пайдаланып, бұл теңдікті былай жазамыз: Бұл формула центрі ![](data:image/png;base64,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) нүктесі, радиусы болатын сфера теңдеуі. деп алып, центрі координаталар басында жатқан сфераның теңдеуін табамыз:
Достарыңызбен бөлісу: |